Analysis of Chorin-type projection methods for the stochastic Stokes equations with general multiplicative noise

2022 ◽  
Author(s):  
Xiaobing Feng ◽  
Liet Vo
Keyword(s):  
Multiplicative Noise ◽  
Stokes Equations ◽  
Projection Methods

Navier-Stokes equations with multiplicative noise

Nonlinearity ◽  
1993 ◽  
Vol 6 (1) ◽  
pp. 71-78 ◽  
Author(s):  
M Capinski ◽  
N J Cutland
Keyword(s):  
Multiplicative Noise ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations

A class of fully third-order accurate projection methods for solving the incompressible Navier-Stokes equations

2005 ◽  
Vol 21 (6) ◽  
pp. 542-549 ◽  
Author(s):  
Yuxin Ren ◽  
Yuxi Jiang ◽  
Miao'er Liu ◽  
Hanxin Zhang
Keyword(s):  
Stokes Equations ◽  
Projection Methods ◽  
Navier Stokes ◽  
Third Order ◽  
Navier Stokes Equations

The exponential behavior and stabilizability of the stochastic 3D Navier–Stokes equations with damping

2019 ◽  
Vol 31 (07) ◽  
pp. 1950023 ◽  
Author(s):  
Hui Liu ◽  
Lin Lin ◽  
Chengfeng Sun ◽  
Qingkun Xiao
Keyword(s):  
Weak Solutions ◽  
Multiplicative Noise ◽  
Stokes Equations ◽  
Stationary Solutions ◽  
Navier Stokes ◽  
Exponential Behavior ◽  
Navier Stokes Equation ◽  
Navier Stokes Equations ◽  
The Mean ◽  
The Stability

The stochastic 3D Navier–Stokes equation with damping driven by a multiplicative noise is considered in this paper. The stability of weak solutions to the stochastic 3D Navier–Stokes equations with damping is proved for any [Formula: see text] with any [Formula: see text] and [Formula: see text] as [Formula: see text]. The weak solutions converge exponentially in the mean square and almost surely exponentially to the stationary solutions are proved for any [Formula: see text] with any [Formula: see text] and [Formula: see text] as [Formula: see text]. The stabilization of these equations is obtained for any [Formula: see text] with any [Formula: see text] and [Formula: see text] as [Formula: see text].

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